{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TBLOLVVOJA7G3X553LZLSNAN2Y","short_pith_number":"pith:TBLOLVVO","canonical_record":{"source":{"id":"1611.03142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:44:06Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"27f0df26f15bdaf574e91a7a14c761a035d28498fa579432ca79521c5ca639c5","abstract_canon_sha256":"f3bed5143ff576754ba7bbacd5ee06bc886f93e77b48007df717d18c3f7a3678"},"schema_version":"1.0"},"canonical_sha256":"9856e5d6ae483e6ddfbddaf2b9340dd61d9ea8e081541b35eb58d7d87146e31e","source":{"kind":"arxiv","id":"1611.03142","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03142","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03142v1","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03142","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"TBLOLVVOJA7G","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_16","alias_value":"TBLOLVVOJA7G3X55","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_8","alias_value":"TBLOLVVO","created_at":"2026-07-05T01:51:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TBLOLVVOJA7G3X553LZLSNAN2Y","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03142","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:44:06Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"27f0df26f15bdaf574e91a7a14c761a035d28498fa579432ca79521c5ca639c5","abstract_canon_sha256":"f3bed5143ff576754ba7bbacd5ee06bc886f93e77b48007df717d18c3f7a3678"},"schema_version":"1.0"},"canonical_sha256":"9856e5d6ae483e6ddfbddaf2b9340dd61d9ea8e081541b35eb58d7d87146e31e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:51:34.869480Z","signature_b64":"5U/stwz90JSDxNrbon+vwIWr7xvCinBciMVB/s2nB1+2P+u+YBq6WCClw83yXlvSxfCOmcq9pls/Yctq3ZX0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9856e5d6ae483e6ddfbddaf2b9340dd61d9ea8e081541b35eb58d7d87146e31e","last_reissued_at":"2026-07-05T01:51:34.869080Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:51:34.869080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03142","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:51:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lVNwqppNukqBd4qgkFYRL+rO+xz6Mv80rGwhDjG19hVVnwhlt/dOo4gYFxcd7fCwzgB39sNFe0fyWTic1czCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:29:31.613389Z"},"content_sha256":"8cfe7c307524da81a06a82396d6ad9a16c05d27079bc565b517dfbd8c4862fe4","schema_version":"1.0","event_id":"sha256:8cfe7c307524da81a06a82396d6ad9a16c05d27079bc565b517dfbd8c4862fe4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TBLOLVVOJA7G3X553LZLSNAN2Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"hep-th","authors_text":"Alexandr Popolitov, Ben Heidenreich, Clay Cordova, Shamil Shakirov","submitted_at":"2016-11-10T00:44:06Z","abstract_excerpt":"We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of Schur functions. The results are fully factorized into a product of terms linear in the rank of the matrix and the parameters of the model. We extend our formulas to include both logarthmic and finite-difference deformations, thereby generalizing the celebrated Selberg and Kadell integrals. We conjecture a formula for correlators of two Schur functions in these models, and explain how our results follow"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03142","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1611.03142/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:51:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9bbycLV+RRjOeVRW4TaEw5UKJTnRfe2wxpK8iuAeeRC0BNgbBEwoHI9BphPwO1y+zOLxRM8v6xzW1qEhnAyWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T22:29:31.614080Z"},"content_sha256":"92a00ae31c0136e42f5f119373d86d56347e6ee6ef53e49f4428830442e1bb68","schema_version":"1.0","event_id":"sha256:92a00ae31c0136e42f5f119373d86d56347e6ee6ef53e49f4428830442e1bb68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/bundle.json","state_url":"https://pith.science/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T22:29:31Z","links":{"resolver":"https://pith.science/pith/TBLOLVVOJA7G3X553LZLSNAN2Y","bundle":"https://pith.science/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/bundle.json","state":"https://pith.science/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TBLOLVVOJA7G3X553LZLSNAN2Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TBLOLVVOJA7G3X553LZLSNAN2Y","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f3bed5143ff576754ba7bbacd5ee06bc886f93e77b48007df717d18c3f7a3678","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:44:06Z","title_canon_sha256":"27f0df26f15bdaf574e91a7a14c761a035d28498fa579432ca79521c5ca639c5"},"schema_version":"1.0","source":{"id":"1611.03142","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03142","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03142v1","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03142","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_12","alias_value":"TBLOLVVOJA7G","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_16","alias_value":"TBLOLVVOJA7G3X55","created_at":"2026-07-05T01:51:34Z"},{"alias_kind":"pith_short_8","alias_value":"TBLOLVVO","created_at":"2026-07-05T01:51:34Z"}],"graph_snapshots":[{"event_id":"sha256:92a00ae31c0136e42f5f119373d86d56347e6ee6ef53e49f4428830442e1bb68","target":"graph","created_at":"2026-07-05T01:51:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1611.03142/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find an exact solution to strongly-coupled matrix models with a single-trace monomial potential. Our solution yields closed form expressions for the partition function as well as averages of Schur functions. The results are fully factorized into a product of terms linear in the rank of the matrix and the parameters of the model. We extend our formulas to include both logarthmic and finite-difference deformations, thereby generalizing the celebrated Selberg and Kadell integrals. We conjecture a formula for correlators of two Schur functions in these models, and explain how our results follow","authors_text":"Alexandr Popolitov, Ben Heidenreich, Clay Cordova, Shamil Shakirov","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:44:06Z","title":"Orbifolds and Exact Solutions of Strongly-Coupled Matrix Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03142","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8cfe7c307524da81a06a82396d6ad9a16c05d27079bc565b517dfbd8c4862fe4","target":"record","created_at":"2026-07-05T01:51:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f3bed5143ff576754ba7bbacd5ee06bc886f93e77b48007df717d18c3f7a3678","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:44:06Z","title_canon_sha256":"27f0df26f15bdaf574e91a7a14c761a035d28498fa579432ca79521c5ca639c5"},"schema_version":"1.0","source":{"id":"1611.03142","kind":"arxiv","version":1}},"canonical_sha256":"9856e5d6ae483e6ddfbddaf2b9340dd61d9ea8e081541b35eb58d7d87146e31e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9856e5d6ae483e6ddfbddaf2b9340dd61d9ea8e081541b35eb58d7d87146e31e","first_computed_at":"2026-07-05T01:51:34.869080Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:51:34.869080Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5U/stwz90JSDxNrbon+vwIWr7xvCinBciMVB/s2nB1+2P+u+YBq6WCClw83yXlvSxfCOmcq9pls/Yctq3ZX0AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:51:34.869480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03142","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cfe7c307524da81a06a82396d6ad9a16c05d27079bc565b517dfbd8c4862fe4","sha256:92a00ae31c0136e42f5f119373d86d56347e6ee6ef53e49f4428830442e1bb68"],"state_sha256":"7a811742636a0561b81576266428a68a53b0af8ede0a9cc42b56e401354ccd76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVrJFEs8wuH7RweEIPCPQG1gmSCH4/PuUvOvw99vApGbU5GW2uVpTxHcTyK5x3Suf69YrqSMorHFBHTqodA6DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T22:29:31.619609Z","bundle_sha256":"f378cdfa086d52addc409f9f8ed83d911a35029a3962009316a6029df6d972bc"}}